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Generalization of Scott's formula for retractions from generalized alexandroff's cube
Studia Logica 45 (3):281 - 292 (1986)
Abstract
In the paper [2] the following theorem is shown: Theorem (Th. 3,5, [2]), If =0 or = or , then a closure space X is an absolute extensor for the category of , -closure spaces iff a contraction of X is the closure space of all , -filters in an , -semidistributive lattice.In the case when = and =, this theorem becomes Scott's theorem.My notes
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References found in this work
Universality of the closure space of filters in the algebra of all subsets.Andrzej W. Jankowski - 1985 - Studia Logica 44 (1):1 - 9.
Some modifications of Scott's theorem on injective spaces.Andrzej W. Jankowski - 1986 - Studia Logica 45 (2):155 - 166.
Retracts of the closure space of filters in the lattice of all subsets.Andrzej W. Jankowski - 1986 - Studia Logica 45 (2):135 - 154.
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